Finite Group Databasebeta

← Group #11807558

Character table — Group #11807558

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222244444444444444444444444444446666666666666666666666668888888888888888121212121212121212121212121212121212121212121212121212121818181824242424363636363636
order1222222233444466666666666666344446666666121212121212121212121212121212124444444444444444121212121212121212121212121212121212121212121212444444441212121212121212121212121212121212121212444412121212222244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111
χ17111-1-11-1-111ii−i−i11-1-1-1-1-111-111-1-11i−i1-111-1-11-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i11-1-111-1-1ii−i−iiiii−i−i−i−ii−i1-1ii−i−iii−i−i11-1-11-11-1i−ii−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i1-1i−i1-11-1i−i
χ18111-1-11-1-111ii−i−i11-1-1-1-1-111-111-1-11i−i1-111-1-11-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i11-1-1-1-111ii−i−iiiii−i−i−i−ii−i1-1ii−i−iii−i−i11-1-11-1-11−ii−ii11-1-1ii−i−i11-1-1-1-111−i−iii−i−iii-11−ii-11-11−ii
χ19111-1-11-1-111ii−i−i11-1-1-1-1-111-111-1-11i−i1-111-1-11-1-1iiii−i−i−i−iii−i−i11-1-1−i−iii-1-11111-1-1−i−iii−i−i−i−iiiiii−i1-1ii−i−iii−i−i11-1-1-111-1i−ii−i-1-111−i−iii-1-11111-1-1ii−i−i−i−iii1-1i−i-11-11−ii
χ20111-1-11-1-111ii−i−i11-1-1-1-1-111-111-1-11i−i1-111-1-11-1-1iiii−i−i−i−iii−i−i11-1-1−i−iii-1-111-1-111−i−iii−i−i−i−iiiiii−i1-1ii−i−iii−i−i11-1-1-11-11−ii−ii-1-111−i−iii-1-111-1-111−i−iiiii−i−i-11−ii1-11-1i−i
χ21111-1-11-1-111ii−i−i11-1-1-1-1-111-111-1-11−ii-1111-1-11-1-1iiii−i−i−i−i−i−iii-1-111ii−i−i11-1-111-1-1−i−iii−i−i−i−iiiii−ii-11ii−i−i−i−iii-1-111-11-11i−i−ii-1-111ii−i−i11-1-111-1-1ii−i−i−i−iii-11−ii1-1-11i−i
χ22111-1-11-1-111ii−i−i11-1-1-1-1-111-111-1-11−ii-1111-1-11-1-1iiii−i−i−i−i−i−iii-1-111ii−i−i11-1-1-1-111−i−iii−i−i−i−iiiii−ii-11ii−i−i−i−iii-1-111-111-1−iii−i-1-111ii−i−i11-1-1-1-111−i−iiiii−i−i1-1i−i-111-1−ii
χ23111-1-11-1-111ii−i−i11-1-1-1-1-111-111-1-11−ii-1111-1-11-1-1iiii−i−i−i−i−i−iii-1-111−i−iii-1-11111-1-1ii−i−iiiii−i−i−i−i−ii-11ii−i−i−i−iii-1-1111-1-11i−i−ii11-1-1−i−iii-1-11111-1-1ii−i−iii−i−i-11−ii-111-1−ii
χ24111-1-11-1-111ii−i−i11-1-1-1-1-111-111-1-11−ii-1111-1-11-1-1iiii−i−i−i−i−i−iii-1-111−i−iii-1-111-1-111ii−i−iiiii−i−i−i−i−ii-11ii−i−i−i−iii-1-1111-11-1−iii−i11-1-1−i−iii-1-111-1-111−i−iii−i−iii1-1i−i1-1-11i−i
χ25111-1-11-1-111−i−iii11-1-1-1-1-111-111-1-11i−i-1111-1-11-1-1−i−i−i−iiiiiii−i−i-1-111ii−i−i-1-11111-1-1−i−iii−i−i−i−iiiiii−i-11−i−iiiii−i−i-1-1111-1-11−iii−i11-1-1ii−i−i-1-11111-1-1−i−iii−i−iii-11i−i-111-1i−i
χ26111-1-11-1-111−i−iii11-1-1-1-1-111-111-1-11i−i-1111-1-11-1-1−i−i−i−iiiiiii−i−i-1-111ii−i−i-1-111-1-111−i−iii−i−i−i−iiiiii−i-11−i−iiiii−i−i-1-1111-11-1i−i−ii11-1-1ii−i−i-1-111-1-111ii−i−iii−i−i1-1−ii1-1-11−ii
χ27111-1-11-1-111−i−iii11-1-1-1-1-111-111-1-11i−i-1111-1-11-1-1−i−i−i−iiiiiii−i−i-1-111−i−iii11-1-111-1-1ii−i−iiiii−i−i−i−ii−i-11−i−iiiii−i−i-1-111-11-11−iii−i-1-111−i−iii11-1-111-1-1−i−iiiii−i−i-11i−i1-1-11−ii
χ28111-1-11-1-111−i−iii11-1-1-1-1-111-111-1-11i−i-1111-1-11-1-1−i−i−i−iiiiiii−i−i-1-111−i−iii11-1-1-1-111ii−i−iiiii−i−i−i−ii−i-11−i−iiiii−i−i-1-111-111-1i−i−ii-1-111−i−iii11-1-1-1-111ii−i−i−i−iii1-1−ii-111-1i−i
χ29111-1-11-1-111−i−iii11-1-1-1-1-111-111-1-11−ii1-111-1-11-1-1−i−i−i−iiiii−i−iii11-1-1ii−i−i-1-11111-1-1ii−i−iiiii−i−i−i−i−ii1-1−i−iii−i−iii11-1-1-111-1−ii−ii-1-111ii−i−i-1-11111-1-1−i−iiiii−i−i1-1−ii-11-11i−i
χ30111-1-11-1-111−i−iii11-1-1-1-1-111-111-1-11−ii1-111-1-11-1-1−i−i−i−iiiii−i−iii11-1-1ii−i−i-1-111-1-111ii−i−iiiii−i−i−i−i−ii1-1−i−iii−i−iii11-1-1-11-11i−ii−i-1-111ii−i−i-1-111-1-111ii−i−i−i−iii-11i−i1-11-1−ii
χ31111-1-11-1-111−i−iii11-1-1-1-1-111-111-1-11−ii1-111-1-11-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii11-1-111-1-1−i−iii−i−i−i−iiiii−ii1-1−i−iii−i−iii11-1-11-11-1−ii−ii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii1-1−ii1-11-1−ii
χ32111-1-11-1-111−i−iii11-1-1-1-1-111-111-1-11−ii1-111-1-11-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii11-1-1-1-111−i−iii−i−i−i−iiiii−ii1-1−i−iii−i−iii11-1-11-1-11i−ii−i11-1-1−i−iii11-1-1-1-111ii−i−iii−i−i-11i−i-11-11i−i
χ33222222222-122222-12-122-12-1-12-1-12-12222-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222222200002222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ34222222222-122222-12-122-12-1-12-1-12-12222-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-2111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000001111111111110000000000000000000000
χ35222222222-122222-12-122-12-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-111111111222222220000-2-2-2-211111111-2-2-2-2-1-1-1-111111111-2-20000001111-1-1-1-1-1-1-1-10000000000000000000000
χ36222222222-122222-12-122-12-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-111111111-2-2-2-2-2-2-2-200002222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122000000-1-1-1-1111111110000000000000000000000
χ37222222222-1-2-2-2-22-12-122-12-1-12-1-12-122-2-2-1-1-1-1-1-1-1-2-211-2-211-1-1-1-111112222-2-2-2-20000-2-2-2-21111111122-2-21111-1-1-1-1111122000000-1-1-1-1-1-1-1-111110000000000000000000000
χ38222222222-1-2-2-2-22-12-122-12-1-12-1-12-122-2-2-1-1-1-1-1-1-1-2-211-2-211-1-1-1-11111-2-2-2-2222200002222-1-1-1-1-1-1-1-122-2-21111-1-1-1-11111-2-200000011111111-1-1-1-10000000000000000000000
χ39222222222-1-2-2-2-22-12-122-12-1-12-1-12-1-2-222-1-1-1-1-1-1-1-2-211-2-2111111-1-1-1-12222-2-2-2-200002222-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-1-2-20000001111-1-1-1-111110000000000000000000000
χ40222222222-1-2-2-2-22-12-122-12-1-12-1-12-1-2-222-1-1-1-1-1-1-1-2-211-2-2111111-1-1-1-1-2-2-2-222220000-2-2-2-211111111-2-22211111111-1-1-1-122000000-1-1-1-11111-1-1-1-10000000000000000000000
χ4122222222-122222-12-12-1-12-122-122-1-12222-1-1-1-1-1-1-1-1-122-1-12222222222000000002222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100222222000000000000-1-1-1-1-1-1-1-10000-1-1-1-1000000
χ4222222222-122222-12-12-1-12-122-122-1-12222-1-1-1-1-1-1-1-1-122-1-1222222222200000000-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-20000000000001111111100001111000000
χ4322222222-122222-12-12-1-12-122-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-20000000022220000000000001111-1-1-1-11111111100-2-222-2-2000000000000-1-1-1-1-1-1-1-100001111000000
χ4422222222-122222-12-12-1-12-122-122-1-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-200000000-2-2-2-20000000000001111-1-1-1-1111111110022-2-222000000000000111111110000-1-1-1-1000000
χ4522222222-12-2-2-2-2-12-12-1-12-122-122-1-122-2-2-1-1-1-1-1-1-111-2-211-2-22222-2-2-2-2000000002222000000000000-1-1111111-1-1-1-1111100-2-2-2-222000000000000-1-1-1-11111000011-1-1000000
χ4622222222-12-2-2-2-2-12-12-1-12-122-122-1-122-2-2-1-1-1-1-1-1-111-2-211-2-22222-2-2-2-200000000-2-2-2-2000000000000-1-1111111-1-1-1-11111002222-2-20000000000001111-1-1-1-10000-1-111000000
χ4722222222-12-2-2-2-2-12-12-1-12-122-122-1-1-2-222-1-1-1-1-1-1-111-2-211-2-2-2-2-2-2222200000000222200000000000011-1-111111111-1-1-1-10022-2-2-2-2000000000000-1-1-1-111110000-1-111000000
χ4822222222-12-2-2-2-2-12-12-1-12-122-122-1-1-2-222-1-1-1-1-1-1-111-2-211-2-2-2-2-2-2222200000000-2-2-2-200000000000011-1-111111111-1-1-1-100-2-222220000000000001111-1-1-1-1000011-1-1000000
χ49222-2-22-2-22-12i2i−2i−2i2-1-21-2-212-112-11-2-12i−2i2-2-1-111-1112i2i−i−i−2i−2iii−i−iii-1-1112i2i−2i−2i22-2-200002i2i−2i−2i−i−i−i−iiiii2i−2i2-2−i−iii−i−iii-1-1112-2000000-1-111−i−iii-1-1110000000000000000000000
χ50222-2-22-2-22-12i2i−2i−2i2-1-21-2-212-112-11-2-12i−2i2-2-1-111-1112i2i−i−i−2i−2iii−i−iii-1-111−2i−2i2i2i-2-2220000−2i−2i2i2iiiii−i−i−i−i2i−2i2-2−i−iii−i−iii-1-111-2200000011-1-1ii−i−i11-1-10000000000000000000000
χ51222-2-22-2-22-12i2i−2i−2i2-1-21-2-212-112-11-2-1−2i2i-22-1-111-1112i2i−i−i−2i−2iiiii−i−i11-1-12i2i−2i−2i22-2-20000−2i−2i2i2iiiii−i−i−i−i−2i2i-22−i−iiiii−i−i11-1-1-2200000011-1-1−i−iii-1-1110000000000000000000000
χ52222-2-22-2-22-12i2i−2i−2i2-1-21-2-212-112-11-2-1−2i2i-22-1-111-1112i2i−i−i−2i−2iiiii−i−i11-1-1−2i−2i2i2i-2-22200002i2i−2i−2i−i−i−i−iiiii−2i2i-22−i−iiiii−i−i11-1-12-2000000-1-111ii−i−i11-1-10000000000000000000000
χ53222-2-22-2-22-1−2i−2i2i2i2-1-21-2-212-112-11-2-12i−2i-22-1-111-111−2i−2iii2i2i−i−i−i−iii11-1-12i2i−2i−2i-2-2220000−2i−2i2i2iiiii−i−i−i−i2i−2i-22ii−i−i−i−iii11-1-12-2000000-1-111−i−iii11-1-10000000000000000000000
χ54222-2-22-2-22-1−2i−2i2i2i2-1-21-2-212-112-11-2-12i−2i-22-1-111-111−2i−2iii2i2i−i−i−i−iii11-1-1−2i−2i2i2i22-2-200002i2i−2i−2i−i−i−i−iiiii2i−2i-22ii−i−i−i−iii11-1-1-2200000011-1-1ii−i−i-1-1110000000000000000000000
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χ1344-4-4-4444-4-2400002-4242-242-4-4-24-4-2-2000022-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000
χ1358-888-8-88-8-4-400004-444-4-4-4-44444-4420000-22-2-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-88-88-8-88-4-400004-4-4-4444-44-4444-420000-2222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-88-88-4-4000044-44-44444-4-4-4-4420000-2-2-2222-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-8-8888-8-4-40000444-44-4-4444-4-44-420000-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).